Sentence examples for provided that the average from inspiring English sources

As demonstrated in [37], if all the subsystems are exponentially stable, then the SLS remains exponentially stable provided that the average dwell time is sufficiently large.

Moreover, the proposed analytical model applies also to other vehicle spatial distributions, provided that the average inter-vehicle distance is fixed.

The secondary user is allowed to operate within the primary user's licensed spectrum, provided that the average interference power inflicted at the primary receiver does not exceed a certain average threshold.

Indeed for a function f the product of variances of an infinitesimal rotations and a translations along one axis can be arbitrarily small, provided that the average of translations along the other axis on f is small.

The converse proof in [14] is directly applicable to continuous channel alphabets, provided that the average power constraint (1) can be incorporated into the arguments in [14, pp. 1129-1130].

We considered a spectrum sharing scenario, where the secondary user can operate within the primary user's licensed spectrum, provided that the average interference power inflicted at the primary receiver does not exceed a certain average threshold.

Solar power cannot yet provide that; the average commercial installation is expected to pay for itself in five to nine years.

Ignition tests carried out within a real and dummy engine compartment showed that pressure effects due to an explosion will be relatively modest provided that the averaged hydrogen concentration in this area is limited to 10% vol/vol, which would correspond to a maximum release flow of 10 NL/min.

Modeling the input delay as a transport Partial Differential Equation, we prove asymptotic stabilization of the system state, that is, robust delay compensation, providing that the average L2-norm of the delay time-derivative over some time-window is sufficiently small and that the average time between two discontinuities (average dwell time) is sufficiently large.

The revised analytical model was able to reproduce measured cumulative I at the two sites accurately and succeeded in capturing the variability in I associated with the seasonal variability in rainfall intensity, provided that Tf-based values for the average wet-canopy evaporation rates were used instead of values derived with the Penman-Monteith equation.

A problem of having some observations aggregated in grouped categories is that, since we only observe the stock of immigrants for the group, the dependent variable is measured with error provided that the log of the average stock of the group is not equal to the average of logs of bilateral stocks.